Mathematica Anwendertag 2024

21 November 2024 - München

When Web-Stack Meets Wolfram Language

Kirill Vasin

kirill.vasin@uni-a.de

*University of Augsburg*

.slides Danke für deine Aufmerksamkeit 🩵 ==Press f on a slide== **to start presentation**. Use arrows to navigate

The rest is a source code of the presentation.

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Slides

Introduction

A title slide

.slide # When Web-Stack Meets Wolfram Language 🕸️ 🐺 *Real-world use cases in research and education with the open source WLJS Notebook frontend* <br/><br/> Kirill Vasin <small>kirill.vasin@uni-a.de</small> <br/><br/> About me

CodeInsetCF = EditorView[" (*SbB[*)Subscript[B(*|*),(*|*)k_,q_](*]SbB*) [ions_] := Sum[(*SpB[*)Power[(-1)(*|*),(*|*)q](*]SpB*) (*SbB[*)Subscript[Y(*|*),(*|*)k,-q](*]SbB*) [i] (*SbB[*)Subscript[a(*|*),(*|*)k](*]SbB*)[Norm[i]], {i, ions}] "];

Main content

Should we outline the talk?

__Outline__

.slide <!-- .slide: style="height:100vh; text-align: left" --> # Outline 1. How to make Web-GUI - Wolfram Language XML Extension - Live examples 3. WLJS Notebook - open source notebook interface for WL - Overview - Dynamics - Realtime-pathtracing - Export to HTML - How to deploy dynamic notebooks to web - Data-driven presentation 1+1 1+1 1-1

Web-tech part

Talk about WLX and browser's sandbox

.slide Standalone Apps in WL --- # Browser is a great sandbox 🏜️ - power tools for building UI with >20 years of development - crossplatform by default - remote access to your resources, databases, calculations - access to GPU, USB, sensors and many more - Javascript has the biggest library of tools --- ## Escaping Notebook Web-based GUI is a nice option for making apps with Wolfram Kernel --- 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CodeExample1 = EditorView[".html <body> <h1>Hello World</h1> Today is <i>November 21 st</i> </body> "]; CodeExample2 = EditorView[".wlx TodayTime := Today // TextString; <body> <h1>Hello World</h1> Today is <i><TodayTime/></i> </body> "]; CodeExample3 = EditorView[".wlx TodayTime := Today // TextString; Heading[Text_String] := <h1><Text/></h1>; <body> <Heading>Hello World</Heading> Today is <i><TodayTime/></i> </body> "]; .slide # HTML is simple and declarative <CodeExample1/> <!-- .element: class="text-left" --> --- # An idea how to extend it naturally - Uppercase tags are Wolfram Language symbols - Attributes are OptionsPattern - Children are arguments --- # Wolfram Language + HTML <CodeExample2/> <!-- .element: class="text-left" --> --- - __Pages and components are functions__ (Wolfram expressions). - Templates and app logic are indistinguishable formally - Any expression passed to HTML tag is converted to string --- # Wolfram Language + HTML <CodeExample3/> <!-- .element: class="text-left" --> Introducing WLX

QR1 = BarcodeImage["https://jerryi.github.io/wlx-docs/", "QR", 300]; QR2 = BarcodeImage["https://github.com/JerryI/wl-localpackages", "QR", 300]; CodeLPM = EditorView[" PacletRepositories[{ Github -> \"https://github.com/urlToPackage\" -> \"master\" }]; Get[\"PackageContext`\"] "]; .slide <svg width="500" height="500" class="text-teal-500 ml-auto mr-auto" version="1.1" x="0px" y="0px" viewBox="0 0 156.2 122.8" fill="currentColor"><path fill-rule="evenodd" d="M78.9,41.2c0,0-0.8-5-1.4-6.8c3.8-3.7,4.4-4.3,8.1-7.8c0.3,7.1,0.1,10.8-0.3,19.5 C83.2,43.9,78.9,41.2,78.9,41.2z M62.3,65.7c0,0-4-2.4-7-2.8c0.9-2,3.1-4.6,3.7-5.3c-1.1,0.4-9.4,4.1-10.2,7.2 c2.3,0.6,4.6,1.3,6.8,2.3c-3,3.4-4.8,7.6-5.3,12.1c0,0,13.1-2,22.9-0.7c0.2,0.1,0.4,0.2,0.6,0.1l5.1,0.1l16.3,27.1l0.1,0.2 c0,0,0,0,0,0c-30.7,11.1-52.8-9.3-57.6-16.5c0-0.1,0-0.1,0-0.2c4.3-18,9.5-39.5,18-45.9c4.4-7.7,5.7-19.1,13.6-25 c2,6,5.1,18.3,7.3,24.3c9.4,9.4,23.6,21,33.1,25.9c1,0.6,2.3,4.6,2.3,4.6l-3.8,4.8l-40.9-4.1c-0.9-0.1-1.8-0.1-2.7-0.1 c-2.8,0-5.7,0.3-8.5,0.8C58,69.7,62.3,65.7,62.3,65.7z M75.5,60.4c2.3-0.3,4.7,0.6,7.4,2.1c2.6-0.7,2.8-0.9,5.4-1.6 c-3.3-2.4-6.8-5-11.7-4.3C76.2,57.9,75.8,59.2,75.5,60.4L75.5,60.4z"></path><g><polygon class="st2" points="27,95.4 5.9,61.8 26.8,28.7 31.5,28.7 10.7,61.8 31.6,95.3 "></polygon></g><g><polygon class="st2" points="102.4,51.7 112.2,11.1 117.7,5.6 107,49.5 105.9,54.2 "></polygon></g><g><polygon class="st2" points="125.9,95.2 146.9,61.6 126,28.5 121.3,28.5 142.2,61.6 121.2,95.1 "></polygon></g></svg> # Wolfram Language XML (WLX) A syntax extension for Wolfram Language that lets you write HTML-like markup inside a Wolfram Language Script like JSX. <br/> <span style="color:blue">https://jerryi.github.io/wlx-docs/</span> <div style="position:absolute; top:0" class="fragment"> <QR1/> </div> --- ## WLX is a transpiler - No parsing or any transformation at runtime is needed. - It does it once and returns a held expression or function. 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.slide Before going further... # LPM (Local Packages Manager) ![](https://github.com/JerryI/wl-localpackages/raw/main/images-2.jpeg) <div class="fragment"> Solves a couple of issues - installs packages locally to the project - solves version conflicts - (only Github repos are supported) </div> <div style="position:absolute; bottom:0" class="fragment"> <QR2/> </div>

In addition

__Show lively in VSCode__

1. `01-string.wls` (*write yourself*)

2. `02-page-example.wls` (*write yourself*)

3. `WLJSBasic` (*You can use Mathematica's function to plot data*)

5. `Balls` (*What about dynamics? Yes, it is possible. Thanks to websockets, we can make dynamic Graphics with bunch of points*)

6. `Explorer` (*Here is a common example how a view app could look like*)

7. `TODOAppV2` (two sides view) (*For advanced users, you can manage local, global state and build such applicaitons, which can support multiple windows or instances*)

Then show Terakitchen.




---

WLJS Notebook

.slide # Wolfram Language $\\neq$ Wolfram Mathematica ## You can get one for free A console application <!-- .element: class="fragment" --> <span class="fragment" style="color:red">Wolfram Engine</span> .slide No needs in importing libraries, it is all at hand <br/> 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--- # Stabillity Since 1988 - Now API, syntax, commands did not change Examples with WL

__For whom are not familiar with Mathematica or Wolfram. I would jump and make a short introduction.__

Please forgive me for that, since we need to make it interesting for both parts of the audience.

.wlx CodeInset[Str_String] := With[{EView = EditorView[Str]}, <div> <EView/> <!-- .element: class="text-left" --> </div> ] CodeInsetUniversal[Str_String] := With[{EView = CellView[Str, "Display"->"codemirror"]}, <div> <EView/> <!-- .element: class="text-left" --> </div> ] CodeInsetUniversalSmall[Str_String] := With[{EView = CellView[Str, "Display"->"codemirror"]}, <div> <EView/> <!-- .element: class="text-left" style="font-size:14px" --> </div> ] CodeEval[Str_String] := With[{EView = EditorView[ToString[ToExpression[Str, InputForm], StandardForm]]}, <div> <EView/> <!-- .element: class="text-left" --> </div> ] PlotExample = Plot[x, {x,0,1}, PlotStyle -> (*VB[*)(RGBColor[1/2, 1/2, 1])(*,*)(*"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeGJAIcndyzs/JLwouTyxJzghJzS3ISSxJTWMGyXMgyRcxgMEDe3TGB3sAGJkVmw=="*)(*]VB*)]; PlotExampleA = EditorView @ ToString[Row[{Plot[x, {x,0,1}, PlotStyle -> (*VB[*)(RGBColor[1/2, 1/2, 1])(*,*)(*"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeGJAIcndyzs/JLwouTyxJzghJzS3ISSxJTWMGyXMgyRcxgMEDe3TGB3sAGJkVmw=="*)(*]VB*)], EditorView["/. {(*VB[*)(RGBColor[1/2, 1/2, 1])(*,*)(*\"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeGJAIcndyzs/JLwouTyxJzghJzS3ISSxJTWMGyXMgyRcxgMEDe3TGB3sAGJkVmw==\"*)(*]VB*) -> (*VB[*)(RGBColor[1, 0, 0])(*,*)(*\"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeGJAIcndyzs/JLwouTyxJzghJzS3ISSxJTWMGyXMgyRcxgMEHeyiDgQHOAAALpBNd\"*)(*]VB*)}"]}], StandardForm]; PlotExampleB = Plot[x, {x,0,1}, PlotStyle -> Red]; Examples from STD

Introducing WLJS Notebook

.slide ![](https://github.com/JerryI/wolfram-js-frontend/raw/main/imgs/Toster.png) <br/> **Kirill Vasin** <small>PhD student (Augsburg Univeristy, Germany)</small> **Kirill Belov** <small>C# Developer (Engels, Russia)</small> --- ## WLJS Notebook <span style="color:green">is</span> - An open-source notebook interface for Wolfram Language - A desktop application - A set of Javascript modules implementing various frontend functions standing for graphics, sound, syntax sugar and dynamics <br/><br/> <div class="fragment"> ## <span style="color:red">is not</span> - *Mathematica killer*, we target it as a competitor to Jupyter, Pluto, Marimo </div> .slide # Brief Overview ## 1. Editor, syntax sugar, output form <BriefOverview/> BriefOverview = (*VB[*)(FrontEndRef["11f3b396-4763-4671-992e-64e485d4981f"])(*,*)(*"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeEJBwK8rPK3HNS3GtSE0uLUlMykkNVgEKGxqmGScZW5rpmpibGeuamJkb6lpaGqXqmpmkmliYpphYWhimAQBuyhSh"*)(*]VB*); .slide # Its all alive, try to pan this plot <PanPlot/> --- # Its all alive, try to pan this plot <Plot3DTest/> PanPlot = (*VB[*)(FrontEndRef["08dcded1-ea0a-4355-8277-658f47f2f07a"])(*,*)(*"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeEJBwK8rPK3HNS3GtSE0uLUlMykkNVgEKG1ikJKekphjqpiYaJOqaGJua6loYmZvrmplapJmYpxmlGZgnAgCLQBWq"*)(*]VB*); Plot3DTest = (*VB[*)(FrontEndRef["1b3a992d-5c68-42ab-a966-b967f81c32c6"])(*,*)(*"1:eJxTTMoPSmNkYGAoZgESHvk5KRCeEJBwK8rPK3HNS3GtSE0uLUlMykkNVgEKGyYZJ1paGqXomiabWeiaGCUm6SZampnpJlmamadZGCYbGyWbAQCCaxV/"*)(*]VB*); Script:

1. `Sphere[] // Graphics` then replace

2. `Plot` show this is real

3. 2D math input, show that `StandardForm` is compatible with `InputForm`

4. Colors, Dates

5. Color palettes: insert special characters, camera

If you are experimentalist you would like to use data import function.

- Show LaTeX

- Excalidraw

- Overlay - calculate something

Talk about bindings to JS?

2. Dynamics

WidgetRadius = LeakyModule[{radius = 0.8, slider}, slider = InputRange[0,1,0.1]; EventHandler[slider, (radius = #) &]; { slider, Graphics[Disk[{0,0}, radius // Offload], PlotRange->{{-1,1}, {-1,1}}] } // Row ]; .slide # Brief Overview ## 2. Granual dynamics - Prevent complete reevaluation upon changes - Bind the dynamic symbol only to the nearest parent - Enforce an event-based approach for inputs --- <Row> <CodeInsetUniversalSmall>radius = 1.0; slider = InputRange[0,1,0.1]; EventHandler[slider, (radius = #) &]; slider Graphics[Disk[{0,0}, radius // Offload]] </CodeInsetUniversalSmall> <WidgetRadius/> </Row> --- <DynamicPlot3DCode/> <!-- .element: class="text-left" --> --- <DynamicPlot3D/> --- <iframe width="560" class="mx-auto" height="315" src="https://www.youtube.com/embed/Hr4bxYvY5aM?si=3ZUISDlQc4Zob74z" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" ></iframe> --- <FluidSimCode/> <!-- .element: class="text-left" --> Loading all dynamic examples

FluidSimCode := EditorView[" Graphics[{Arrowheads[Medium/2], Table[With[{i=i, j=j}, Offload[{ Hue[colors[[i]][[j]]], Arrow[{{i,j}, {i,j} + grid[[i]][[j]]}] }] ], {i,15}, {j,15}], PointSize[0.02], Point[particles//Offload] ] "]; Dynamic plot 3D

DynamicPlot3D := ManipulatePlot[BesselJ[n, z], {z, 0, 20}, {n, 1, 10,1}] DynamicPlot3DCode := EditorView["ManipulatePlot[BesselJ[n, z], {z, 0, 20}, {n, 1, 10,1}] "]; .slide ## More examples here <BarcodeImage>"https://jerryi.github.io/wljs-docs/wljs-demo"</BarcodeImage> <br/> <a style="color:blue" href="https://jerryi.github.io/wljs-docs/wljs-demo">https://jerryi.github.io/wljs-docs/wljs-demo</a>

Architecture

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Flat notebook structure (own-format) 2. StandardForm is a seamlessly decorated InputForm 3. No Dynamic expression 4. No Button, no Slider, no mutations of cell content 5. Event-based approach in dynamics 6. Granural dynamics 7. Can convert dynamic notebooks to pure Javascript and HTML 8. Web-ready notebooks with no dependencies 9. Mixture of languages in a single notebook: Javascript, HTML, WLX, Markdown, Mermaid ... Show RTX and example from published paper.

Practical examples

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.slide ## A surprise for Python users 🟩 ### Integration with Plotly <Row> <Plotly1/> <Plotly1Code/> <!-- .element: class="text-left" style="font-size:18px" </Row> --- ## A surprise for Python users ### Integration with Plotly <Row> <Plotly2/> <Plotly2Code/> <!-- .element: class="text-left" style="font-size:18px" </Row> Plotly1 = Plotly[<| "x" -> {1, 2, 3, 4}, "y" -> {10, 11, 12, 13}, "mode" -> "markers", "marker" -> <| "size" -> {40, 60, 80, 100} |> |>]; Plotly1Code = EditorView[" data = <| \"x\" -> {1, 2, 3, 4}, \"y\" -> {10, 11, 12, 13}, \"mode\" -> \"markers\", \"marker\" -> <| \"size\" -> {40, 60, 80, 100} |> |>; Plotly[data] "]; Plotly2 = Plotly[<| "z" -> Table[x y, {x,-10,10}, {y,-10,10}], "type" -> "heatmap" |>]; Plotly2Code = EditorView[" data = <| \"z\" -> Table[x y, {x,-10,10}, {y,-10,10}], \"type\" -> \"heatmap\" |>; Plotly[data] "];

Export

.slide # Enforce Portability 💼 __You do not need to install any programs to view notebooks__ --- Export to a single standalone `.html` file Check those examples (links) - [Quantum well](https://jerryi.github.io/wljs-docs/wljs-demo/mid-quantum-well) - [Manipulate](https://jerryi.github.io/wljs-docs/wljs-demo/intro-manipulate) - [THz Time-domain modelling](https://jerryi.github.io/wljs-docs/wljs-demo/mid-thz-tds) <br/> <br/> <br/> - No internet dependency - Most data is stored inside - Run in any modern web-browser - No static pictures! - Can deploy to a blog/website .slide # Enforce Portabillity 💼 __Keep your dynamics working without Woflram Kernel__ <br/> - No CDF players - No running Kernel - No server - Only precalculated data --- Where do I need this? <br/> - Tell a story using notebook and show it to everyone - Make interactive examples published on web - Make interactive lecture notes --- ## How it works 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Make Presentations!

Finally

.slide # Programmatic way of making slides Have you heard about RevealJS? --- # Markdown is the key Have a look at this example <CodeInsetUniversal>.slide # Light and Quantum Mechanics Here is __our equation__ $$ E = \\hbar \\omega $$ </CodeInsetUniversal> --- # Light and Quantum Mechanics Here is __our equation__ $$ E = \\hbar \\omega $$ --- Make it animated <CodeInsetUniversal>.slide # Light and Quantum Mechanics Here is __our equation__ $$ E = \\hbar \\omega $$ <!-- .element: data-eq-speed="0.5" --> </CodeInsetUniversal> --- # Light and Quantum Mechanics Here is __our equation__ $$ E = \\hbar \\omega $$ <!-- .element: data-eq-speed="0.5" --> --- Insert some images *by dragging and dropping into a cell* <CodeInsetUniversal>.slide # Picture on a slide ![](https://www.wikipedia.org/portal/wikipedia.org/assets/img/Wikipedia-logo-v2.png) </CodeInsetUniversal> --- # Picture on a slide ![](https://www.wikipedia.org/portal/wikipedia.org/assets/img/Wikipedia-logo-v2.png)

Going further

.slide <!-- .slide: style="height:100vh" --> # Data-Driven Slides *Extending beoyng HTML and Markdown* <br/> - Extend HTML tags with WL symbols - Make possible component approach in design - Bind events, provide interactivity and dynamic content - Generate figures __in place__ --- <!-- .slide: style="height:100vh" --> # Data-Driven Slides <div class="text-left"> Define a "component" <CodeInsetUniversal>.wlx MakeTitle[Str_] := ﹤h1﹥﹤Str/﹥﹤/h1﹥ </CodeInsetUniversal> <br/><br/> Use it in a slide if it was an HTML tag <CodeInsetUniversal>.slide ﹤MakeTitle﹥Title﹤/MakeTitle﹥ Today is __﹤Now/﹥__ </CodeInsetUniversal> </div> --- # Title Today is __<Now/>__ --- <!-- .slide: style="height:100vh" --> # Data-Driven Slides <div class="text-left"> Make a figure in the notebook <CodeInsetUniversal> Figure = Plot3D[Sin[x + (*SpB[*)Power[y(*|*),(*|*)2](*]SpB*)], {x, -3, 3}, {y, -2, 2}, ColorFunction->"Rainbow"] </CodeInsetUniversal> Use it on a slide <CodeInsetUniversal>.slide # Title Here is my plot ﹤Figure/﹥ </CodeInsetUniversal> </div> --- # Title Here is my plot <FigureTest1/> --- <!-- .slide: style="height:100vh" --> # Data-Driven Slides <div class="text-left"> Dynamics will also work <CodeInsetUniversal> DynPlot = ManipulatePlot[(*SpB[*)Power[Sin[w z](*|*),(*|*)n](*]SpB*), {z,0,10}, {w, 0, 5}, {n, 1,1}]; </CodeInsetUniversal> Use it on a slide <CodeInsetUniversal>.slide # Title Here is my dynamic plot ﹤DynPlot/﹥ </CodeInsetUniversal> </div> --- # Title Here is my dynamic plot <TestMan/> --- And it is still exportable to a standalone HTML file FigureTest1 = Plot3D[Sin[x + (*SpB[*)Power[y(*|*),(*|*)2](*]SpB*)], {x, -3, 3}, {y, -2, 2}, ColorFunction->"Rainbow"]; TestMan = ManipulatePlot[(*SpB[*)Power[Sin[w z](*|*),(*|*)n](*]SpB*), {z,0,10}, {w, 0, 5, 0.1}, {{n,1}, 1,2,1}];